55392480 has 288 divisors, whose sum is σ = 222899040. Its totient is φ = 12349440.

The previous prime is 55392431. The next prime is 55392481. The reversal of 55392480 is 8429355.

55392480 is a `hidden beast` number, since 553 + 9 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55392481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205786 + ... + 206054.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^55392480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

55392480 is an abundant number, since it is smaller than the sum of its proper divisors (167506560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55392480 is a wasteful number, since it uses less digits than its factorization.

55392480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55392480 is about 7442.6124445654. The cubic root of 55392480 is about 381.1976984601.

The spelling of 55392480 in words is "fifty-five million, three hundred ninety-two thousand, four hundred eighty".